Hi there!
a. 8x^2 - 1
(x^2 - 4x + 5) + (7x^2 + 4x - 6)
= x^2 + 7x^2 - 4x + 4x - 1
= 8x^2 - 1
b. 5x^2 + 7x - 7
(7x^2 + 4x - 6) - (2x^2 - 3x + 1)
= 7x^2 + 4x - 6 - 2x^2 + 3x - 1
= 7x^2 - 2x^2 + 4x + 3x - 6 - 1
= 5x^2 + 7x -7
Hope this helps!
Answer:
(2 x 10) + (4 x 1) + (2 x 0.1) + (1 x 0.01)
Step-by-step explanation:
Answer:
The ratio that exist between this three elements are 25 : 19 : 13.
Step-by-step explanation:
Ratio compares one thing to another. Ratios indicate the comparison of the size of a number to another . One trick about ratio is that you can multiply or divide the ratios by same number. For example the ratio of boy to girls can be represented as 3 : 4. If you multiply the ratios by 2 you will get the ratio 6 : 8 and it still represent the same ratios of boys to girls. Ratios can be written as a fraction for example 3/4 for our example.
The cost of the unit is made up of $6.25 , $4.75 and $3.25.
$6.25 $4.75 $3.25 . Let us multiply by 100 to remove the decimals.
625 : 475 : 325 . Now let simplify the ratios by dividing through by 25.
625/25 : 475/25 : 325/25 . The simplest ratios can be written as follows
The ratios are 25 : 19 : 13.
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.

The length of the entire dash is 700 meters.
So an additional discount of 50% off the sale price would bringthe price to 35% (that is, 50% • 70%) of the original price. Thus, a $100item would cost $35 after both discounts. An 80% off sale means thatyou pay 100% – 80%, or 20% of the original cost of the item.